MATH497 HILBERT SPACE TECHNIQUES
Course Code: | 2360497 |
METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
ECTS Credit: | 6.0 |
Department: | Mathematics |
Language of Instruction: | English |
Level of Study: | Undergraduate |
Course Coordinator: | Assoc.Prof.Dr. KOSTYANTYN ZHELTUKHIN |
Offered Semester: | Fall Semesters. |
Course Objectives
Course Content
Inner product spaces. Examples of inner product spaces; Hilbert spaces (definition and examples); convergence in Hilbert spaces; orthogonal complements and the projection theorem; linear functionals and the Riesz representation theorem; applications to various branches of Mathematics.